Representation Theory: Selected Papers

doi:10.1017/CBO9780511629310

Representation Theory

Selected Papers

The unifying theme of this collection of papers by the very creative Russian mathematician I. M. Gelfand and his co-workers is the representation theory of groups and lattices. Two of the papers were inspired by application to theoretical physics; the others are pure mathematics though all the papers will interest mathematicians at quite opposite ends of the subject. Dr. G. Segal and Professor C-M. Ringel have written introductions to the papers which explain the background, put them in perspective and make them accessible to those with no specialist knowledge in the area.

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Representation Theory

Selected Papers

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Two papers on representation theory
pp 1-14

Representations of the group SL(2,R), where R is a ring of functions (RMS 28:5 (1973) 87–132)
pp 15-60

Representations of the group of diffeomorphisms (RMS 30:6 (1975) 1–50)
pp 61-110

An introduction to the paper “Schubert cells and cohomology of the spaces G/P”
pp 111-114

Schubert cells and cohomology of the spaces G/P (RMS 28:3 (1973) 1–26)
pp 115-140

Four papers on problems in linear algebra
pp 141-156

Coxeter functions and Gabriel's theorem (RMS 28:2 (1973) 17–32)
pp 157-172

Free modular lattices and their representations (RMS 29:6 (1974) 1–56)
pp 173-228

Lattices, representations and algebras connected with them I (RMS 31:5 (1976) 67–85)
pp 229-248

Lattices, representations and algebras connected with them II (RMS 32:1 (1977) 91–114)
pp 249-272

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Representation Theory

Selected Papers

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